Fold thickness of some graphs

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Archival Material/Manuscript

Publication Date

2009

Abstract

The adjacency matrix of a graph G having vertices x1, x2, . . . , xn is the n × n matrix A(G) = [aij ] where aij = 1 if xi is adjacent to xj and aij = 0 otherwise. We say that a graph is singular if its adjacency matrix is singular; otherwise we say that it is non-singular. Formulas for the determinant of some types of graphs such as combs, crowns, sparks and starpaths are shown in this paper and thus determining when these graphs are singular.

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Disciplines

Mathematics

Keywords

Graph theory

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